Abstract
We first summarize the characterization of smooth spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in the Schwarzschild spacetime and Kruskal extension. Then use the characterization to prove special SS-CMC foliation property, and verify part of the conjecture by Malec and Ó Murchadha (Phys Rev D (3) 68:124019, 2003).
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Communicated by James A. Isenberg.
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Lee, KW., Lee, YI. Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime. Ann. Henri Poincaré 17, 1477–1503 (2016). https://doi.org/10.1007/s00023-015-0432-y
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DOI: https://doi.org/10.1007/s00023-015-0432-y